An iceberg consists of frozen freshwater that has broken awayfrom a glacier, and could be more than 15,000 years old. Icebergsin the Grand Banks area are estimated to weigh between 100,000 and200,000 tons. Suppose a team of scientists aboard a research vesseloperating in the Grand Banks area selects a random sample of 49icebergs. The height is carefully measured for each, and the samplemean is x = 101 meters. Assume σ = 25 meters.
(a) Find a 99% confidence interval for the mean height oficebergs in the Grand Banks area (in meters). (Round your answersto four decimal places.)
(____________ , __________)meters
